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Finding the Third Proportional to 1,267,314.19 and 1,963,591.03

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Solution

The third proportional to 1,267,314.19 and 1,963,591.03 is: 3,042,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,314.19 : 1,963,591.03 = 1,963,591.03 : x
  2. Step 2: Convert to fraction form
    1,267,314.19/1,963,591.03 = 1,963,591.03/x
  3. Step 3: Cross multiply
    1,267,314.19x = 1,963,591.03 × 1,963,591.03
  4. Step 4: Simplify right side
    1,267,314.19x = 3,855,689,738,005.44
  5. Step 5: Solve for x
    x = 3,855,689,738,005.44/1,267,314.19
  6. Step 6: Final answer
    x = 3,042,410.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.